1217460456 has 80 divisors (see below), whose sum is σ = 3474454500. Its totient is φ = 398151936.

The previous prime is 1217460443. The next prime is 1217460463. The reversal of 1217460456 is 6540647121.

It can be written as a sum of positive squares in 2 ways, for example, as 1215637956 + 1822500 = 34866^2 + 1350^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1217460456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16620 + ... + 52068.

Almost surely, 2^1217460456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1217460456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737227250).

1217460456 is an abundant number, since it is smaller than the sum of its proper divisors (2256994044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1217460456 is a wasteful number, since it uses less digits than its factorization.

1217460456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35520 (or 35507 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1217460456 is about 34892.1259885379. The cubic root of 1217460456 is about 1067.7878002852.

The spelling of 1217460456 in words is "one billion, two hundred seventeen million, four hundred sixty thousand, four hundred fifty-six".